Parametric models for investigation of contact interaction of elements stamp tools
Keywords:
mathematical model, parametric model, system prismatic bodies, contact interactionAbstract
A new approach to modeling of contact interaction of bodies is proposed. Parameterization methodology was developed to provide variativity. It covers all stages of the research. In particular, the results of stress-analisis for a system of three bodies are presented as an example for die equipment. Форма пуансона была выбрана в виде цилиндра, заготовки – круглой пластины, матрица – полый цилиндр с утолщением на конце.
The shape of the punch was chosen as the cylinder blank - circular plate matrix - a hollow cylinder with a thickening at the end. The problem is solved in axisymmetric formulation based on an axial symmetry of the construction, loads and boundary conditions. Calculation scheme of the problem was constructed, that was calculated in the software ANSYS. To describe the behavior a linear elastic material model is used, and a stuff is defined for each of the elements. Generalized parametric modeling approach is adapted to provide a variation of investigated objects –all the varied factors of the model of the investigated process or condition considered as generalized parameters. The set of these parameters generates a generalized parametric space, each point of that identifies the analyzed model. Defined in the parameter space for a discrete set of points, it is possible to organize the process of numerical studies, working in automated mode. Using the proposed approach stress-strain state investigation of the elements of the system "matrix - material - punch" were heldReferences
Dyomina, N. A. Mathematical modeling of the contact interaction of prismatic bodies / Dyomina, N. A. // Problems of engineering. -2014, v. 17. - № 3. -P. 52-56.
Belytschko T. Contact-Impact by the Pinball Algorithm with Penalty and Lagrangian Methods / T. Belytschko, M.O. Neal // Int. J. for Numerical Methods in Engineering. – 1991. – vol. 31. – Р. 547-572.
Dyomina, N. A.Improved methods of calculating elements die equipments based on an analysis of the stress-strain state: Author. Dis. for obtaining sciences. degree candidate. Sc. sciences specials. 05.03.05 "processes and equipment fabrication" / N.A. Demina - Kharkiv, 2011. - 20 p.
Tkachuk N. The finite-element model of the elements of complex mechanical systems: technology and automated generation of parameterized descriptions / N.A. Tkachuk, G.D. Gritsenko, A.D. Chepurnoy, E.A. Orlov, N. N. Tkachuk // Mechanics and Engineering - Kharkiv: NTU "KhPI», 2006. - №1. - P.57-79.
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